Large-Time Behavior of Solutions of Linear Dispersive Equations: 1668 (Lecture Notes in Mathematics, 1668) - Softcover

Dix, Daniel B.

 
9783540634348: Large-Time Behavior of Solutions of Linear Dispersive Equations: 1668 (Lecture Notes in Mathematics, 1668)
Softcover
ISBN 10: 3540634347 ISBN 13: 9783540634348
Publisher: Springer, 1997

Synopsis

This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. Using the method of steepest descent much new information on the regularity and spatial asymptotics of the solutions are also obtained. Applications to nonlinear dispersive equations are discussed. This monograph is intended for researchers and graduate students of partial differential equations. Familiarity with basic asymptotic, complex and Fourier analysis is assumed.

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
1997
Language
English
ISBN 10 
3540634347
ISBN 13 
9783540634348
Binding
Paperback
Number of pages
217